Hydrostatic pressure

p=ρghp=\rho g h

Result unit: Pa (pascal)

What it describes

The pressure of a liquid column increases with depth and with the density of the liquid.

Symbols

pp
hydrostatic pressure
[Pa]
ρ\rho
density of the liquid
[kg/m³]
gg
gravitational acceleration
[m/s²]
hh
depth
[m]

Where it comes from

Pressure in a liquid increases with depth, because the column of liquid above a given point is heavier. It does not depend on the shape of the container — only on depth and density.

When to use it

Pressure at the bottom and at depth; dams, diving.

Example

Calculate the hydrostatic pressure at a depth of 10 m in water (ρ=1000\rho=1000, g=10g=10).
Substitutionρ=1000\rho=1000, g=10g=10, h=10h=10.
Resultp=1000⋅10⋅10=100 000p=1000\cdot10\cdot10=100\,000 Pa (=1=1 bar).

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